2017/04/30 by Dennis Obster, Naoki Sasakura · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Coherence (philosophical gambling strategy) #Cosmology and Gravitation Theories #Epistemology #Geometry #Homogeneous space #Invariant (physics) #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Simple (philosophy) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-017-5355-y
19 pages, 4 figures; Major changes in the summary section. Some other minor changes. Figures replaced. References added
openalex publication_date 2017/11/01 · arxiv created 2017/11/03 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recent developments in quantum gravity have shown the Lorentzian treatment to be a fruitful approach towards the emergence of macroscopic space-times. In this paper, we discuss another related aspect of the Lorentzian treatment: we argue that collective quantum coherence may provide a simple mechanism for highlighting symmetric configurations over generic non-symmetric ones. After presenting the general framework of the mechanism, we show the phenomenon in some concrete simple examples in the randomly connected tensor network, which is tightly related to a certain model of quantum gravity, i.e., the canonical tensor model. We find large peaks at configurations invariant under Lie-group symmetries as well as a preference for charge quantization, even in the Abelian case. In future study, this simple mechanism may provide a way to analyze the emergence of macroscopic space-times with global symmetries as well as various other symmetries existing in nature, which are usually postulated.